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Finding the Fourth Proportional to 8,321.54, 12,481.97 and 2,477.97

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Solution

The fourth proportional to 8,321.54, 12,481.97 and 2,477.97 is: 3,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.54 : 12,481.97 = 2,477.97 : x
  2. Step 2: Convert to fraction form
    8,321.54/12,481.97 = 2,477.97/x
  3. Step 3: Cross multiply
    8,321.54x = 12,481.97 × 2,477.97
  4. Step 4: Simplify right side
    8,321.54x = 30,929,934.81
  5. Step 5: Solve for x
    x = 30,929,934.81/8,321.54
  6. Step 6: Final answer
    x = 3,716.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.